15. A force of 5 N produces an acceleration of 8 m/s2 of a mass m, and an acceleration of 24 m s-2 on
a mass m,. What acceleration would the same force provide if both the masses are tied
together?
(CBSE 2011) [Ans. 6 m/s]
Answers
Answered by
0
Answer:
From Newton's second law of motion, the applied force is directly proportional to the acceleration produced or F=ma
The unit of force is newton in SI denoted by the symbol N.
Forces acting on a mass m
1
with acceleration a
1
and mass m
2
with acceleration a
2
are as given below.
m
1
=
a
1
F
=
8
5
kg.
m
2
=
a
2
F
=
24
5
kg.
M=(
8
5
+
24
5
)kg=(
6
5
)kg
Acceleration produced in M (when the two masses are tied together),
a=
M
F
=
6
5
5
=6 ms
−2
Answered by
1
on first object:
F = ma
5 = m × 8
m = 5/8
on second object:
F= ma
5 = m × 24
m = 5/24
now according to question;
m1 + m2 = 5/8 + 5/24 = 5/6
therefore, F = ma
a = F/M
a = 5÷(5/6) = 6 m/s^2
hope it helped..
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